document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23187>Question 23187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [(x^-3 Y^2)^-1(2x^-3)^2 ] / (x^4 y^-2)^-2<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11836 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=11836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Before I continue with this rather complicated problem, perhaps you should look at my newly posted Lesson Plans in algebra.com under the topic of Exponents.  There is a lesson on Positive Exponents and a lesson on Zero and Negative Exponents.  These lesson plans are complete with the explanations, examples, exercises, and answers to all the exercises that you need to do.  \r<BR>\n" );
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document.write( "Now back to our problem:<BR>\n" );
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document.write( "Is that what you had in mind?  I think this is right.  \r<BR>\n" );
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document.write( "First, when you raise a power to a power, you multiply the exponents:<BR>\n" );
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document.write( "Next, when you multiply with the same base number, you must add the exponents:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E%283%2B%28-6%29%29%2A+Y%5E%28-2%29%2A4+%29+%2F+%28x%5E%28-8%29%2A+y%5E4%29 ALIGN=MIDDLE  ALT=\"+%28x%5E%283%2B%28-6%29%29%2A+Y%5E%28-2%29%2A4+%29+%2F+%28x%5E%28-8%29%2A+y%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E%28-3%29%2A+Y%5E%28-2%29%2A4+%29+%2F+%28x%5E%28-8%29%2A+y%5E4%29 ALIGN=MIDDLE  ALT=\"+%28x%5E%28-3%29%2A+Y%5E%28-2%29%2A4+%29+%2F+%28x%5E%28-8%29%2A+y%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When you divide with the same base number, you must subtract exponents:\r<BR>\n" );
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document.write( "Do you remember that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E-6+ ALIGN=MIDDLE  ALT=\"y%5E-6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fy%5E6 ALIGN=MIDDLE  ALT=\"1%2Fy%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >?  You had better see my Lesson Plan if you didn't know that!!\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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